V24z – 2z3 dz dy dæ, by changing the order of integration to dæ dy dz.

Q: Evaluate the triple integral. 3x dV, where E = {(x, y, z) I 0 s y s 2, 0sxs V4- y², 0 s z s 2y}

A: Given region is E=x,y,z/0≤y≤2,0≤x≤4−y2,0≤z≤2y We have to evaluate the triple integral ∭E3xdV in…

Q: y = x², y = 6x, about the line y = 36 can be computed using the method of disks or washers via an…

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Q: If y(w)dw 11 3 and y(w)dw = 6.7 what does the following integral equal? y(w)dw = %3D 3

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Q: 2 dz dx dy +2 Volume 2y 9-y?

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Q: Evaluate the iterated integral. 21 V441-y у dx dy 21 441-y у dx dy %3D i

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Q: Evaluate the line integral ry dz for C : r(t) = (e , et+1)", te'), 0 <t<1 and then repeat with -C in…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 s ts 1. %3D (y – x) dx…

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Q: Evaluate the double integral. // (2x + y) da, D = {(x, y) | 1 s y s 4, y – 3 sxs 3}

A: Evaluate the integral

Q: ... Supply the missing integrand and the limits of integration (Ух ӑx dy dy (4+y²) 3/²dy | V4+y?dy

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Q: Evaluate the line integral. y dx - x dy, parabola y = x² for 0 < x < 8

A: Given:

Q: By making an appropriate change of variables, evaluate the double integral -y? (x+ y)e²²-v° dædy

A: In this question, we have to evaluate the double integral by changing the variable for a given…

Q: The integral. 1 dydx is VÆ V10 – y3

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Q: Evaluate the line integral Lav where C is given by the line y = lnx, 1 ≤ x ≤e. xy ds,

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Q: Evaluate the double integral: 2 So de dy. Sola 0 Jy¹/3 Y x7 +1 (Hint: Change the order of…

A: Application of integration

Q: SSS (x+ yz?) dx dy dz v. 06x< !, 0£ys2

A: Given that ∫∫v∫x+yz2dxdydz, where v:0≤x≤1, 0≤y≤2, -1≤z≤3 Here, we will evaluate the given integral

Q: Calculate the double integral. JS y dA, 4xye+²y R R= [0, 1] × [0, 8]

A: Given; ∫∫R4xyex2ydA, R=0,1×0,8   As we know the common integral. ∫eax+bdx=1aeax+b+C  And ∬dA=∬dxdy…

Q: Consider the triple integral I = S S“(y² – 6z)dydzdx. -

A: ∫02∫x21∫0xzy2-6zdydzdx=∫02∫x21z3x33-6z2xdzdx=∫02x31-x812-6x13-x63dx=31.88888…

Q: Evaluate the triple integral S" S, sin y² dz dy dx.

A: We need to find the triple integral ∫03∫0π∫0ysiny2dzdydx. So,…

Q: Evaluate the double integral. 4y dA, D = {(x, y) | 0 s x s 1, 0 sysx} 6x + 1

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Q: Evaluate the iterated integral: S", Si yz dx dz dy.

A:

Q: The reverse order of the integration J. Jy f(x,y)dxdy is A) SF f(x, y)dydx B) f, J fcx,y)dydx C) S,…

A: Here we have to change the order of integration.

Q: Calculate the double integral. 3xy? dA, R = -{(x, m10 sx 5 3,-25 ys 2} -2 s ys2} .2 + 1

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Q: Reverse the order of integration and evaluate the integral: (a) [/ 2y° sin zy dy da (c) / dy dx 포 y4…

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Q: Find only the limits of the integration of the figure below in the order (dx dy). -SS dxdy *-2-y I=…

A: Solve the equation x=y2 and x=2-y for y to find the upper limit and lower limit of y . Use the given…

Q: Supply the missing integrand and limits of integration. J- Sor"y dyds = (a) [ L* 6z*y dzdy = dy /2…

A:

Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 < y< 2, y – 1 < x < 1}

A: Double integration

Q: D eter mine Paricular volution ( 2xy)dy = (y²-x²)dy j x=I,y= -2

A: In this question we have to determine the particular solution.

Q: Change the order of integration and evaluate the integral Vy+1 y? dxdy Vy+1

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Q: Evaluate the line integral S, y ds where C:x = t²,y= 2t, 0 <t < 3

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Q: f(x, y) dz dy. y2 Change the order of integration for

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Q: Find the differential dy. (a) y = xv10 – x %3D dy %3D (b) y = (1+ x) 6 dy

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Q: Evaluate the double integral: L Loddy. dr dy. y²/3 x² +1 Hint: Change the order of integration to dy…

A: We need to evaluate integral.

Q: Calculate the value of the double integral 2 c3 5(x'y+ xy' )dædy. Ja=0 Jy-0 O 70 O 210 O 190 O 150

A: Consider the given double integral. ∫x=02∫y=035x2y+xy2dxdy First integrate with respect to y.…

Q: Evaluate the integral by changing to cylindrical coordinates. 100 y2 13 10 xz dz dx dy Vx2 + y2 100…

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Q: Evaluate the iterated integral by changing to cylindrical coordinates. V16 - x (x²+ y?)3/2 dy dx dz…

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Q: J=J," sin (1/x) d By using trapezoidal rule for integration find

A: Given,         J=∫07sin31xdx;             n=12

Q: COS TTZ dz is - The value of integral Jc (z – 1) (z- 2) (z – 1) (z – 2) |

A:

Q: . Use fourth order Runga Kutta Method to find y at x=0.1, given that dy = 3e* + 2y , y(0) = 0 and h…

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Q: - dx dz dy . x² +z? Evaluate the iterated triple integral

A: To evaluate the triple integral: ∫02∫0y∫0z3zx2+z2dx dz dy

Q: Evaluate the line integral. y dx + z dy + x dz, r(t) = (2 + t-1, t³, t2) for 0 <ts 3

A: Given: From the above function, the following can be written,

Q: Evaluate the iterated integral. 24 V576-y у dx dy 24 V576-y2 y dx dy = i

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Q: Evaluate the line integral S. xyevz dy, C:x = t,y = t²,z = t³,0 < t s 1.

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Q: 2+ y²) dz dy

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Q: Calculate the double integral. ∫∫ ey ^2 dA, D= {(x,y)| 0≤ y ≤3, 0≤ x ≤ y}

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Q: Calculate the double integral. sec) da, R={cx, v) 1 0 s*s2,0s ys} sec2(y) dA, R = = {(x, y) | 0 < x…

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Q: Evaluate the integral by changing to cylindrical coordinates. V4 - y? xz dz dx dy x2+ y2 4- y?

A: Sketch the region and find its range in cylinderical coordinates system.

Q: Evaluate the triple integral. {x, y, z) | 0 s y s 2, 0 sxs 4- y², 0 sz s Sy 6x dV, where E =

A: From the given problem:   ∫∫∫E6xdV   And region:   0≤y≤20≤x≤4-y20≤z≤5y   So, we can write as:…

Q: y? cos(22) dz da dy Jy/4 by changing the order of integration to dx dy dz.

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Q: y³ Vy² + 4 dy Let u = y? 2

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Q: Evaluate the double integral: r3 I | sin(y³) Vy³ dy dx. Hint: Change the order of integration to…

A: